412345900 has 72 divisors (see below), whose sum is σ = 915410160. Its totient is φ = 161187840.

The previous prime is 412345859. The next prime is 412345903. The reversal of 412345900 is 9543214.

It is not an unprimeable number, because it can be changed into a prime (412345903) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 952084 + ... + 952516.

It is an arithmetic number, because the mean of its divisors is an integer number (12714030).

Almost surely, 2^412345900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412345900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457705080).

412345900 is an abundant number, since it is smaller than the sum of its proper divisors (503064260).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

412345900 is a wasteful number, since it uses less digits than its factorization.

412345900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 412345900 is about 20306.3019774650. The cubic root of 412345900 is about 744.3100679877.

The spelling of 412345900 in words is "four hundred twelve million, three hundred forty-five thousand, nine hundred".